Pith Number

pith:SHPZHUYZ

pith:2017:SHPZHUYZXNCH552JYJNBUKXUDM

not attested not anchored not stored refs pending

A graph with fractional revival

Ada Chan, Christino Tamon, \'Erika Loranger, Luc Vinet, Pierre-Antoine Bernard

arxiv:1710.02705 v1 · 2017-10-07 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHPZHUYZXNCH552JYJNBUKXUDM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:25:52.641926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91df93d319bb447ef749c25a1a2af41b26aabfabd250453dc6c12a5e083104a7

Aliases

arxiv: 1710.02705 · arxiv_version: 1710.02705v1 · doi: 10.48550/arxiv.1710.02705 · pith_short_12: SHPZHUYZXNCH · pith_short_16: SHPZHUYZXNCH552J · pith_short_8: SHPZHUYZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SHPZHUYZXNCH552JYJNBUKXUDM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 91df93d319bb447ef749c25a1a2af41b26aabfabd250453dc6c12a5e083104a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4132d24a63df69bc8a3557e2f267db941d1076c0bd018b391fef5d61e042d24f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-10-07T16:22:41Z",
    "title_canon_sha256": "f59f87e42e1b2021c926c4bcdad443710db36bd50401b0e07619e37fb1670532"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02705",
    "kind": "arxiv",
    "version": 1
  }
}